Orbital feedback linearization of single-input nonlinear control systems

被引:0
|
作者
Respondek, W [1 ]
机构
[1] Inst Natl Sci Appliquees Rouen, CNRS, URPESA 6085, LMI,AMS,INSA,Lab Math, F-76131 Mont St Aignan, France
关键词
orbital feedback; linearization; distributions;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A. nonlinear control system is said to be orbital feedback linearizable if there exists a static state feedback and a change of time scale (depending on the state) which transform the system into a linear controllable one. In terms of the original system we give geometric necessary and sufficient conditions for orbital feedback linearization. We present also an analysis of oribitally linearizable systems in small dimensions and discuss their relations with classical results concerning classification of distributions. Copyright (C) 1998 IFAC.
引用
收藏
页码:483 / 488
页数:6
相关论文
共 50 条
  • [21] On Linearization of Single-Input Nonlinear Control Systems Based on Time Scaling and a One-Fold Prolongation
    D. A. Fetisov
    Differential Equations, 2023, 59 : 103 - 118
  • [22] Some fundamental control theory II: Feedback linearization of single input nonlinear systems
    Terrell, WJ
    AMERICAN MATHEMATICAL MONTHLY, 1999, 106 (09): : 812 - 828
  • [23] Orbital feedback linearization of multi-input control affine systems
    Guay, M
    PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 3630 - 3635
  • [24] A state space embedding approach to approximate feedback linearization of single input nonlinear control systems
    Deutscher, J
    Schmid, C
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2006, 16 (09) : 421 - 440
  • [25] An exterior differential characterization of single-input local transverse feedback linearization?
    D'Souza, Rollen S.
    Nielsen, Christopher
    AUTOMATICA, 2021, 127
  • [26] Data-driven control for feedback linearizable single-input systems
    Tabuada, Paulo
    Ma, Wen-Loong
    Grizzle, Jessy
    Ames, Aaron D.
    2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
  • [27] Inducing sustained oscillations in feedback-linearizable single-input nonlinear systems
    Aguilar-Ibanez, Carlos
    Martinez, J. C.
    de Jesus Rubio, Jose
    Suarez-Castanon, Miguel S.
    ISA TRANSACTIONS, 2015, 54 : 117 - 124
  • [28] Curvatures of single-input control systems
    Jakubczyk, Bronislaw
    CONTROL AND CYBERNETICS, 2009, 38 (04): : 1375 - 1391
  • [29] Input-state feedback linearization for a class of single-input non-linear time-delay systems
    Baibeche, Kamel
    Moog, Claude H.
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2016, 33 (03) : 873 - 891
  • [30] Impulsive control of single-input nonlinear systems with application to HIV dynamics
    Rivadeneira, P. S.
    Moog, C. H.
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (17) : 8462 - 8474